Gravitational collapse for polytropic gaseous stars: self-similar solutions

DOI10.1007/s00205-022-01827-8zbMath1505.35292arXiv2107.12056OpenAlexW4309348595MaRDI QIDQ2112016

Juhi Jang, Matthew R. I. Schrecker, Mahir Hadžić, Yan Guo

Publication date: 17 January 2023

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12056

zbMATH Keywords

gaseous starsgravitational Euler-Poisson system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Galactic and stellar structure (85A15) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06) Self-similar solutions to PDEs (35C06) Euler equations (35Q31)

Related Items (6)

Star dynamics: Collapse vs. expansion ⋮ The time asymptotic expansion for the compressible Euler equations with time-dependent damping ⋮ Naked singularities in the Einstein-Euler system ⋮ The relativistic Euler equations: ESI notes on their geo-analytic structures and implications for shocks in 1D and multi-dimensions ⋮ Global finite-energy solutions of the compressible Euler-Poisson equations for general pressure laws with large initial data of spherical symmetry ⋮ On self-gravitating polytropic elastic balls

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